TY - JOUR

T1 - Two-dimensional model of a plate made of an anisotropic inhomogeneous material

AU - Tovstik, P. E.

AU - Tovstik, Tatiana Petrovna

PY - 2017/3/1

Y1 - 2017/3/1

N2 - We present an asymptotic derivation of the two-dimensional equations of equilibrium of a thin elastic inhomogeneous plate manufactured of an anisotropic material of general form with 21 moduli of elasticity. We also consider simplified models obtained under special assumptions on the moduli. We use test examples to illustrate the error estimate of the proposed model and discuss its scope. The model is compared with the classical Kirchhoff–Love and Timoshenko–Reissner models.

AB - We present an asymptotic derivation of the two-dimensional equations of equilibrium of a thin elastic inhomogeneous plate manufactured of an anisotropic material of general form with 21 moduli of elasticity. We also consider simplified models obtained under special assumptions on the moduli. We use test examples to illustrate the error estimate of the proposed model and discuss its scope. The model is compared with the classical Kirchhoff–Love and Timoshenko–Reissner models.

KW - anisotropy

KW - asymptotics

KW - inhomogeneity

KW - plate

UR - http://www.scopus.com/inward/record.url?scp=85024120076&partnerID=8YFLogxK

U2 - 10.3103/S0025654417020042

DO - 10.3103/S0025654417020042

M3 - Article

AN - SCOPUS:85024120076

VL - 52

SP - 144

EP - 154

JO - Mechanics of Solids

JF - Mechanics of Solids

SN - 0025-6544

IS - 2

ER -